Here BD is perpendicular bisector
So
UB=BV=74[tex]\\ \tt\hookrightarrow UV=74+74=148[/tex]
Apply Pythagorean theorem
[tex]\\ \tt\hookrightarrow BD^2=UD^2-UB^2=UD^2-VD^2[/tex]
UD=VD=78=TD[tex]\\ \tt\hookrightarrow TC^2=TD^2-CD^2[/tex]
[tex]\\ \tt\hookrightarrow TC^2=78^2-30^2[/tex]
[tex]\\ \tt\hookrightarrow TC^2=6084-900=5184[/tex]
[tex]\\ \tt\hookrightarrow TC=72[/tex]
Answer:
UV = 148
VD = 78
TC = 72
Step-by-step explanation:
BD is the perpendicular bisector of side UV.
Therefore, ΔUDV is an isosceles triangle.
This implies that UD = VD and BV = UB so UV = 2 x BV
Given that UD = 78, and UD = VD, then VD = 78Given that BV = 74, and BV = UB, then UV = 2 x 74 = 148ΔUDC is a right triangle.
Given CD = 30 and UD = 78,
and using Pythagoras' Theorem, we can calculate UC:
UC = √(UD² - CD²)
⇒ UC = √(78² - 30²)
⇒ UC = 72
CD is the perpendicular bisector of side UT.
Therefore, ΔUDT is an isosceles triangle, so UC = TC
Since UC = 72, then TC = 72
Find the value of x.
Sum of angles of triangle = 180°
Therefore:
x + 60 + 41 = 180x + 101 = 180x = 180 - 101x = 79°hope it helps!
Seth and Ted can paint a room in 6 hours if they work together. If Ted were to work by himself, it would take him 1 hours longer than it would take Seth working by himself. How long would it take Seth to paint the room by himself if Ted calls in sick
Answer:
11.5 hours
Step-by-step explanation:
It would take Seith x hours to paint the room by himself, then Ted needs x + 1 hour.
During 1 hour, Seith can do 1/x of the work, Ted can do 1/(x+1) of the work, then we have
1/x + 1/(x + 1) = 1/6
(2x + 1)/[x(x+1)] = 1/6
x(x+1)=6(2x+1)
x^2 + x = 12x + 6
x^2 - 11x - 6 = 0
[tex]x=\frac{11+\sqrt{145}}{2}= 11.5 hours[/tex]
Swimming Pool On a certain hot summer's day, 685 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $1352.50. How many children and how many adults swam at the public pool that day?
Answer:
120 children and 388 adults bought tickets for the swimming pool. Explanation: Create two simultanous equations:.
Graph y=2x-7 (pls hurry!)
Put y = 2x - 7 into a graphing website and it'll show you (0, -7), (1, -5).
What’s the correct answer for this question?
Zarah bought x candies and y cakes from a shop. Price of each candy is $ 5 and price of
each cake is $ 20.
1. How much money did Zarab pay for all candies? Give answer in terms of x
2. What was the cost of all cakes that Zarah bought? Give answers in terns of y
3, Find the total cost of candies and cakes in terms of x and y
4. If x=10 and y =5, how nonch money did she spend for the candies and cakes?
Zarab pay for all candies = 5x
Zarab pay for all cakes = 20 y
Total cost = 5x + 20y
Money spent = 5x + 20y
= 5 × 10 + 20 × 5
= 50 + 100
= $150
3,100 x 1/10 what is the value of the expression?
Answer: 310
Step-by-step explanation:
Multiplying a value by 1/10 is the same as dividing by 10.
Therefore, 3100* 1/10 = 3100/10
3100/10 = 310.
Hey there!
3,100 × 1/10
= 3,100/1 × 1/10
= 3,100(1) / 1(10)
= 3,100 / 10
= 3,100 ÷ 10 / 10 ÷ 10
= 310 / 1
= 310 ÷ 1
= 310
Therefore, your answer is: 310
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
pls answer I will give brainliest
The medians of are , , and . They meet at a single point .
(In other words, is the centroid of .)
Suppose , , and .
Find the following lengths.
Note that the figure is not drawn to scale.
#VS
We know that medians bisect eachother at 2:1 at centroidVs be x
[tex]\\ \tt\hookrightarrow 18:x=2:1[/tex]
[tex]\\ \tt\hookrightarrow 2x=18[/tex]
[tex]\\ \tt\hookrightarrow x=9[/tex]
#VU
VU be x[tex]\\ \tt\hookrightarrow \dfrac{39}{3}=x=13[/tex]
#PT
[tex]\\ \tt\hookrightarrow VT=16/2=8[/tex]
PT=16+8=24Answer:
#VS
We know that medians bisect eachother at 2:1 at centroid
Vs be x
#VU
VU be x
#PT
PT=16+8=24
Step-by-step explanation:
For each line, determine whether the slope is positive, negative, zero, or undefined.
Answer:
1. Undefined
2. Negative
3. Zero
4. Positive
Step-by-step explanation:
1. Undefined, the line moves in both directions vertically. It's impossible to tell what the slope is.
2. Negative, the line is decreasing at a constant rate, the slope is negative.
3. Zero, the line doesn't increase or decrease, therefore the slope is 0. (No changes)
4. Positive, the line is increasing at a large rate, the slope is positive.
Provide an appropriate response. A quiz consists of 100 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?
Answer:
25-50 correct
Step-by-step explanation:
help me pls give me awnser
Answer:
THE IS 32
Step-by-step explanation:
MALPI THE NUBERS
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
I got C as the correct answer.
Step-by-step explanation:
Im sorry if it’s wrong. Im not the best with percentages.
Hope this helped! Have a great day!!
Please help with this equation, it would really help me. Thank you.
Answer:
the volume should be 2/15
4x 1/5 please someone help me
Answer:
24/5
Step-by-step explanation:
1 1/5 is equal to 6/5. 4 times 6/5 is first 4 times 6 which is 24 and then /5. So the answer is 24/5
The ratio of men to women working for a company is 2 to 3. If there are 87 women working for the company, what is the total number of employees?
What is the volume of this sphere?
Use a = 3.14 and round your answer to the nearest hundredth.
2 in
Answer:
33.49 cubic inches
Step-by-step explanation:
the volume of a sphere is represented by (4/3)pi(r)^3
pi is 3.14 and r is 2
so 4/3(3.14)(2^3)
2^3 is also 8
4/3(3.14)(8)
the final answer is 33.4933333
OR when rounded it is 33.49
Statement:
The radius of the sphere is 2 inches.
To find out:
The volume of the sphere.
Solution:
Radius (r) = 2 inπ we have to consider as 3.14.We know, volume of a sphere [tex] = \frac{4}{3} \pi \: {r}^{3} [/tex]Therefore, the volume of the sphere[tex] = \frac{4}{3} \times 3.14 \times {(2)}^{3} \: \: cubic \: \: inches \\ = \frac{4}{3} \times 3.14 \times 8 \: \: cubic \: \: inches \\ = 33.49 \: \: cubic \: \: inches[/tex]
Answer:
The volume of the sphere is 33.49 cubic inches.
Hope you could understand.
If you have any query, feel free to ask.
what is the answer help
Answer:
900 batteries
Step-by-step explanation:
First we must find how many batteries does 1 calculator need
we can do this by dividing 160 by 40
which will give us 4 batteries per calculator
then we multiply the amount of calculators we have with 4
225×4 = 900 so we need 900 batteries
A baker prepared 264 more cookies than muffins. She sold 3/8 of the cookies and half of the muffins. She had 588 cookies and muffins left altogether. How many cookies did she bake at first?
Answer:
She baked 640 cookies at first.
Step-by-step explanation:
Let cookies be x and muffins be y,
Let cookies remaining be z and remaining muffins be a
x = 264 + y
now,
x - 3/8 of x = z
x - 3x/8 = z
or, (8x-3x)/8 = z
so, z = 5x/8
Now,
y - y/2 = a
or, (2y-y)/2 = a
so, a = y/2
Now,
z + a = 588
or, 5x/8 + y/2 = 588
as we know x = 264 + y,
or, 5(264 + y)/8 + y/2 = 588
or, (1320 + 5y)/ 8 + y/2 = 588
or, (2640 + 10y + 8y)/16 = 588
or, 2640 + 18y = 9408
or, 18y = 9408 - 2640
or, 18y = 6768
so, y = 6768/18
so, y = 376
now,
x = 264 + y
or, x = 264 + 376
so, x = 640
A person's blood pressure (in millimeters of mercury) while resting is given by the function (1) = 23 sin (2xt) + 100, where t is time in seconds. Find his blood pressure after 1 second
height of trapezium if the area given is 124
Short base: 12 cm
Long base: 19 cm
Height:?
Answer:
A= 0.5 x (a+b) x h
124 = 0.5 x (12+19) x h
124 = 15.5 x h
÷15.5
h = 8cm
0.5x(12+19) x 8 does gives 124
Thus, height is 8cm.
Hope this helps!
What’s the correct answer for this question?
Answer:
30 ounces
Step-by-step explanation:
1 chain = 10 pounds per foot
3inches = ?
therefore
? = 30 ounces
Turn the base 2 number 1111 into base 10
Answer:
7
Step-by-step explanation:
[tex]111 \\ {1}^{2} {1}^{1} {1}^{0} \\ 1 \times {2}^{2} + 1 \times {2}^{1} + 1 \times {2}^{0} \\ 4 + 2 + 1 \\ = 7[/tex]
Solve For x ~
19x = 361
Thnx<3"
[tex]\bold{Heya}[/tex] ~
✰ [tex]\sf{Solve~for~x}[/tex] ✰
[tex]\sf{19x~=~361}[/tex]
[tex]\huge \boxed {\underline{Explanation}}[/tex]
—————————————
[tex]\sf{19x~=~361}[/tex]
[tex]\sf{Divide~both~sides~by~19}[/tex]
[tex]\sf{\frac{19x}{19}~=~\frac{361}{19}[/tex].
[tex]\sf{Simplify}[/tex]
[tex]\sf{x~=~19}[/tex]
Hope It Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer~:}[/tex]
Jace •᎑•
does anyone know the answer?
Answer:
Part A: 9.75x > 195
Part B: x > 20
Step-by-step explanation:
Let's say Mark works for x hours. For each hour he works, 9.75 dollars are added to Mark's salary. Therefore, for 1 hour, he gets $9.75, for 2 hours, he gets $9.75 + $9.75 = $9.75 * 2 = $19.50, and for x hours, he gets $9.75 * x as his salary.
We want his salary to be more than $195, so we have $9.75 * x (his salary) > $195, which can be written as 9.75x > 195
divide both sides by 9.75 to solve for x
x > 20
X x 15 = 8 1/3. what is X
Answer:
4
Step-by-step explanation:
yes 1x is the same a x Technically the 1 front of the x is called implied so it's simply written as x say x=4
Answer:
5/9
Step-by-step explanation:
I assume the second x is a times.
X*15=8 1/3
Divide both sides by 15
x= 5/9 or .555 repeating forever
Solve for r.
1/3 - 2 = 2
2 = 2
r =
-=[
Submit
[tex] \frac{r}{3} - 2 = 2 \\ \\ \frac{r}{3} = 2 + 2 \\ \\ \frac{r}{3} = 4 \\ \\ r = 4 \times 3 \\ \\ r = 12.[/tex]
The value of r is 12 .
Javier is standing near a tree. He holds an electronic tape measure near his eyes and finds the three distances shoen
Are this functions yes or no how can I tell if it is ?
Answer:
yes they are all functions
Step-by-step explanation:
Despite f(x) being the classic way to write a function,
a function has:
an input (domain)a relationship (maps to)an output (range)A function relates each element of a set with exactly one element of another (possibly the same) set.
One-to-one and many-to-one are functions, but one-to-many is not a function.
You can also carry out the Vertical Line Test on a graph. If the vertical line only crosses the curve once, it is a function. If it crosses more than once it is still a valid curve, but is not a function.
Yes they all are functions
Functions should include
Two variables (Here they are x and f(x))Must have domain and range.Function must return a new value as output when any input is given .PLS ANSWER AS SOON AS POSSIBLE!!!!
Answer:
Here's a answer to your question.